Accession Number : AD0747977

Title :   Estimation of a Linear Transformation.

Descriptive Note : Technical rept.,

Corporate Author : PRINCETON UNIV N J DEPT OF STATISTICS

Personal Author(s) : Gleser,Leon Jay ; Watson,Geoffrey S.

Report Date : AUG 1972

Pagination or Media Count : 28

Abstract : The problem which suggested this study arose in glaciology. Markers were placed in a glacier at points (xi sub c) and their positions, as measured by surveying techniques, were recorded at x sub i. Several years later a new survey was made by the same method yielding measurements y sub i of the true positions eta sub i. It was assumed that eta sub i = B(xi sub i) where the matrix B describing the deformation of the glacier is the object of interest. It seemed reasonable to assume a multivariate normal distribution for the errors on both occasions with a covariance matrix (sigma squared) E, with E known and so the problem can be transformed to make E = I. This paper deals with this problem where the vectors are p dimensional.

Descriptors :   (*STATISTICAL ANALYSIS, DECISION THEORY), (*GLACIERS, MOTION), MATHEMATICAL MODELS, STATISTICAL DISTRIBUTIONS, TRANSFORMATIONS(MATHEMATICS), RANDOM VARIABLES, PROBABILITY, MATRICES(MATHEMATICS), DEFORMATION, SIMULATION

Subject Categories : Snow, Ice and Permafrost
      Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE